Bianchi I meets the Hubble diagram

Abstract

We improve existing fits of the Bianchi I metric to the Hubble diagram of supernovae and find an intriguing yet non-significant signal for anisotropy that should be verified or falsified in the near future by the Large Synoptic Survey Telescope. Since the literature contains two different formulas for the apparent luminosity as a function of time of flight in Bianchi I metrics, we present an independent derivation confirming the result by Saunders (1969). The present fit differs from earlier ones by Koivisto & Mota and by Campanelli et al. in that we use Saunders' formula, a larger sample of supernovae, Union 2 and JLA, and we use the general Bianchi I metric with three distinct eigenvalues.

arXiv comment32 pages, 3 figures. The second version is the published one. Appendix 2 has been omitted, because, although its computations are correct, its final conclusion is wrong and irrelevant

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• Testing the isotropy of the Universe with type Ia supernovae in a model-independent way
• Light propagation in a homogeneous and anisotropic universe
• Geodesic-light-cone coordinates and the Bianchi I spacetime
• Comparison between hemisphere comparison method and dipole-fitting method in tracing the anisotropic expansion of the Universe use the Union2 dataset
• An effective description of Laniakea: impact on cosmology and the local determination of the Hubble constant
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• Probing the Cosmological Principle with weak lensing shear
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• Axial Bianchi I meets drifting extragalactic sources
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